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%I #5 Nov 26 2013 18:00:14
%S 0,34,42,6406,14398,12486510,41969054,255585490674,1079163298316,
%T 54986925928451542,282118997571150630,124284077001521518573820,
%U 748107850423156991103192,2951299844035743073442451486916
%N Number of (n+1)X(n+1) 0..2 arrays with every element next to itself plus and minus one within the range 0..2 horizontally or antidiagonally, with no adjacent elements equal
%C Diagonal of A232589
%H R. H. Hardin, <a href="/A232581/b232581.txt">Table of n, a(n) for n = 1..17</a>
%e Some solutions for n=5
%e ..0..1..2..0..1..2....2..1..2..0..1..2....2..1..2..1..0..2....0..1..2..0..1..2
%e ..2..0..1..0..1..0....0..1..2..0..1..0....0..1..0..2..1..0....0..1..2..0..1..2
%e ..1..2..1..2..1..0....2..0..1..0..1..2....0..1..0..2..1..0....2..0..1..0..1..2
%e ..1..0..1..2..1..0....1..2..1..2..1..2....2..1..0..2..1..2....1..2..1..0..1..0
%e ..1..2..1..0..1..0....1..0..1..0..1..2....0..2..1..0..1..2....1..0..1..0..1..2
%e ..1..0..1..2..1..0....1..2..1..0..1..0....1..0..1..2..1..0....1..2..1..0..1..2
%K nonn
%O 1,2
%A _R. H. Hardin_, Nov 26 2013